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Finding the Fourth Proportional to 358.02, 536.40 and 175.14

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Solution

The fourth proportional to 358.02, 536.40 and 175.14 is: 262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.02 : 536.40 = 175.14 : x
  2. Step 2: Convert to fraction form
    358.02/536.40 = 175.14/x
  3. Step 3: Cross multiply
    358.02x = 536.40 × 175.14
  4. Step 4: Simplify right side
    358.02x = 93,945.10
  5. Step 5: Solve for x
    x = 93,945.10/358.02
  6. Step 6: Final answer
    x = 262.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.